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Finding the Fourth Proportional to 21,854.93, 30,159.47 and 12,294.09

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Solution

The fourth proportional to 21,854.93, 30,159.47 and 12,294.09 is: 16,965.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,854.93 : 30,159.47 = 12,294.09 : x
  2. Step 2: Convert to fraction form
    21,854.93/30,159.47 = 12,294.09/x
  3. Step 3: Cross multiply
    21,854.93x = 30,159.47 × 12,294.09
  4. Step 4: Simplify right side
    21,854.93x = 370,783,269.27
  5. Step 5: Solve for x
    x = 370,783,269.27/21,854.93
  6. Step 6: Final answer
    x = 16,965.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.